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Finding the Third Proportional to 75,438 and 159,138

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Solution

The third proportional to 75,438 and 159,138 is: 335,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,438 : 159,138 = 159,138 : x
  2. Step 2: Convert to fraction form
    75,438/159,138 = 159,138/x
  3. Step 3: Cross multiply
    75,438x = 159,138 × 159,138
  4. Step 4: Simplify right side
    75,438x = 25,324,903,044
  5. Step 5: Solve for x
    x = 25,324,903,044/75,438
  6. Step 6: Final answer
    x = 335,704.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.